Exact results for noise power spectra in linear biochemical reaction networks
arXiv:q-bio/0512041 · doi:10.1063/1.2356472
Abstract
We present a simple method for determining the exact noise power spectra in linear chemical reaction networks. We apply the method to networks which are representative of biochemical processes such as gene expression and signal detection. Our results clarify how noise is transmitted by signal detection motifs, and indicate how to coarse-grain networks by the elimination of fast reactions.
arXiv comment10 pages, 2 figures, RevTeX 4
References in corpus (4)
- Structure of Stochastic Dynamics near Fixed Points
- Signal detection, modularity and the correlation between extrinsic and intrinsic noise in biochemical networks
- Localization and extinction of bacterial populations under inhomogeneous growth conditions
- The use of oscillatory signals in the study of genetic networks
Cited by in corpus (21)
- Mutual information in time-varying biochemical systems
- The effect of feedback on the fidelity of information transmission of time-varying signals
- Impact of receiver reaction mechanisms on the performance of molecular communication networks
- Reliability of frequency- and amplitude-decoding in gene regulation
- Analytic methods for modeling stochastic regulatory networks
- Eliminating fast reactions in stochastic simulations of biochemical networks: a bistable genetic switch
- Improving the capacity of molecular communication using enzymatic reaction cycles
- Steady-state parameter sensitivity in stochastic modeling via trajectory reweighting
- Communication and Information Theory of Single Action Potential Signals in Plants
- Regulation of signal duration and the statistical dynamics of kinase activation by scaffold proteins
- System size expansion using Feynman rules and diagrams
- Robustness of clocks to input noise
- Redundancy in the information transmission in a two-step cascade
- Communication in Plants: Comparison of Multiple Action Potential and Mechanosensitive Signals with Experiments
- Molecular communication networks with general molecular circuit receivers
- Gene-gene cooperativity in small networks
- Characterizing Information Propagation in Plants
- Interplay of synergy and redundancy in diamond motif
- Macroscopic fluctuation-response theory and its use for gene regulatory networks
- Interplay of degeneracy and non-degeneracy in fluctuations propagation in coherent feed-forward loop motif
- Noise and critical phenomena in biochemical signaling cycles at small molecule numbers